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Finding the Fourth Proportional to 22,675.85, 34,020.59 and 9,160.05

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Solution

The fourth proportional to 22,675.85, 34,020.59 and 9,160.05 is: 13,742.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,675.85 : 34,020.59 = 9,160.05 : x
  2. Step 2: Convert to fraction form
    22,675.85/34,020.59 = 9,160.05/x
  3. Step 3: Cross multiply
    22,675.85x = 34,020.59 × 9,160.05
  4. Step 4: Simplify right side
    22,675.85x = 311,630,259.63
  5. Step 5: Solve for x
    x = 311,630,259.63/22,675.85
  6. Step 6: Final answer
    x = 13,742.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.